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Finding the Fourth Proportional to 802.85, 1,204.38 and 282.74

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Solution

The fourth proportional to 802.85, 1,204.38 and 282.74 is: 424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.85 : 1,204.38 = 282.74 : x
  2. Step 2: Convert to fraction form
    802.85/1,204.38 = 282.74/x
  3. Step 3: Cross multiply
    802.85x = 1,204.38 × 282.74
  4. Step 4: Simplify right side
    802.85x = 340,520.38
  5. Step 5: Solve for x
    x = 340,520.38/802.85
  6. Step 6: Final answer
    x = 424.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.